Aforce with magnitude (5.00n/m2)x2 and directed at a constant angle of 31.0◦ with the +x-axis acts on an object of mass 0.250 kg as the object moves parallel to the x-axis. there are no other forces on the object that have components parallel to the x-axis. how fast is the object moving at x = 1.50 m if it has a speed of 4.00 m/s at x = 1.00 m?

6.57 m/s

Explanation:

From work energy theorem, work done = W = Change in Kinetic energy

W =

here v is the final velocity and u is the initial velocity and F is the force.

Horizontal component of the force is considered here since motion is along the horizontal (X) direction. So cos 31

Work done =

⇒ =3.39 J

= 3.39

⇒ = 3.30

⇒ Speed at x = 1.50 m = v = 6.57 m/s

0.19 m/s and 0.45 m/s